keep up

1. to continue 2. to go as fast as someone next to you 3. to succeed 4. to be up to date/to be aware of actual information on some subject

Examples

1. Although the worker kept up good work, he was sacked. 2. I could hardly keep up with John. 3. If you want to get good marks, you should keep up with the classmates as soon as possible. 4. Teachers have to keep up with the latest discoveries.